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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Prethermalization in Fermi-Pasta-Ulam-Tsingou chains.

Gabriel M Lando1, Sergej Flach1

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Summary
This summary is machine-generated.

Short wavelength excitations in nonlinear chains amplify the Fermi-Pasta-Ulam-Tsingou (FPUT) paradox, revealing new insights into energy equipartition dynamics and prethermalization regimes.

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Area of Science:

  • Nonlinear dynamics
  • Statistical physics
  • Computational physics

Background:

  • The Fermi-Pasta-Ulam-Tsingou (FPUT) paradox describes the unexpected lack of energy equipartition in nonlinear systems.
  • Most research on FPUT chains focuses on long-wavelength initial states.

Purpose of the Study:

  • To investigate the FPUT paradox using short-wavelength initial states.
  • To develop a method for predicting mode excitation in FPUT chains.
  • To explore the impact of mode excitation on energy spreading and prethermalization.

Main Methods:

  • Numerical simulations of FPUT chains with short-wavelength initial states.
  • Development of a predictive technique for mode excitation.
  • Analysis of mode energies, spectral entropies, Lyapunov times, and Kolmogorov-Sinai entropies.

Main Results:

  • Short-wavelength excitations accentuate the FPUT paradox.
  • A technique was developed to predict mode excitation and perturbation order.
  • Energy spreads at different speeds, leading to longer prethermalization regimes with increased mode excitation.
  • Invariant quantities also exhibit prethermalization effects.

Conclusions:

  • Findings generalize the FPUT experiment and offer a new perspective on the paradox's origins.
  • The study enriches the understanding of equipartition in classical many-body systems.